Atkin-Lehner |
3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23829i |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1495234411593 = -1 · 3 · 139 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 -3 -1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5158,-154675] |
[a1,a2,a3,a4,a6] |
j |
-3144219625/309777 |
j-invariant |
L |
0.56021933833151 |
L(r)(E,1)/r! |
Ω |
0.28010966916578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71487m1 1833e1 |
Quadratic twists by: -3 13 |